411414561 has 24 divisors (see below), whose sum is σ = 624859560. Its totient is φ = 260467200.

The previous prime is 411414551. The next prime is 411414571. The reversal of 411414561 is 165414114.

It is an interprime number because it is at equal distance from previous prime (411414551) and next prime (411414571).

It can be written as a sum of positive squares in 4 ways, for example, as 136161 + 411278400 = 369^2 + 20280^2 .

It is not a de Polignac number, because 411414561 - 2¹¹ = 411412513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (411414551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001 + ... + 28841.

It is an arithmetic number, because the mean of its divisors is an integer number (26035815).

Almost surely, 2^411414561 is an apocalyptic number.

It is an amenable number.

411414561 is a deficient number, since it is larger than the sum of its proper divisors (213444999).

411414561 is a wasteful number, since it uses less digits than its factorization.

411414561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25937 (or 25934 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 411414561 is about 20283.3567488224. The cubic root of 411414561 is about 743.7492705687.

Adding to 411414561 its reverse (165414114), we get a palindrome (576828675).

The spelling of 411414561 in words is "four hundred eleven million, four hundred fourteen thousand, five hundred sixty-one".